diff --git a/completion/fish/task.fish b/completion/fish/task.fish
index 3b7683fe..9a596d22 100644
--- a/completion/fish/task.fish
+++ b/completion/fish/task.fish
@@ -102,9 +102,13 @@ complete -c $GO_TASK_PROGNAME -s y -l yes                       -d 'assume yes t
 complete -c $GO_TASK_PROGNAME -n "__task_is_experiment_enabled GENTLE_FORCE" -l force-all -d 'force execution of task and all dependencies'
 
 # RemoteTaskfiles experiment - Options
-complete -c $GO_TASK_PROGNAME -n "__task_is_experiment_enabled REMOTE_TASKFILES" -l offline     -d 'use only local or cached Taskfiles'
-complete -c $GO_TASK_PROGNAME -n "__task_is_experiment_enabled REMOTE_TASKFILES" -l timeout     -d 'timeout for remote Taskfile downloads'
-complete -c $GO_TASK_PROGNAME -n "__task_is_experiment_enabled REMOTE_TASKFILES" -l expiry      -d 'cache expiry duration'
+complete -c $GO_TASK_PROGNAME -n "__task_is_experiment_enabled REMOTE_TASKFILES" -l offline       -d 'use only local or cached Taskfiles'
+complete -c $GO_TASK_PROGNAME -n "__task_is_experiment_enabled REMOTE_TASKFILES" -l timeout       -d 'timeout for remote Taskfile downloads'
+complete -c $GO_TASK_PROGNAME -n "__task_is_experiment_enabled REMOTE_TASKFILES" -l expiry        -d 'cache expiry duration'
+complete -c $GO_TASK_PROGNAME -n "__task_is_experiment_enabled REMOTE_TASKFILES" -l cacert        -d 'custom CA certificate for TLS' -r
+complete -c $GO_TASK_PROGNAME -n "__task_is_experiment_enabled REMOTE_TASKFILES" -l cert          -d 'client certificate for mTLS' -r
+complete -c $GO_TASK_PROGNAME -n "__task_is_experiment_enabled REMOTE_TASKFILES" -l cert-key      -d 'client certificate private key' -r
+complete -c $GO_TASK_PROGNAME -n "__task_is_experiment_enabled REMOTE_TASKFILES" -l cert-key-pass -d 'passphrase for private key'
 
 # RemoteTaskfiles experiment - Operations
 complete -c $GO_TASK_PROGNAME -n "__task_is_experiment_enabled REMOTE_TASKFILES" -l download    -d 'download remote Taskfile'
diff --git a/completion/ps/task.ps1 b/completion/ps/task.ps1
index 156faa44..00b341f4 100644
--- a/completion/ps/task.ps1
+++ b/completion/ps/task.ps1
@@ -72,6 +72,10 @@ Register-ArgumentCompleter -CommandName task -ScriptBlock {
 			$completions += [CompletionResult]::new('--offline', '--offline', [CompletionResultType]::ParameterName, 'use cached Taskfiles')
 			$completions += [CompletionResult]::new('--timeout', '--timeout', [CompletionResultType]::ParameterName, 'download timeout')
 			$completions += [CompletionResult]::new('--expiry', '--expiry', [CompletionResultType]::ParameterName, 'cache expiry')
+			$completions += [CompletionResult]::new('--cacert', '--cacert', [CompletionResultType]::ParameterName, 'custom CA certificate')
+			$completions += [CompletionResult]::new('--cert', '--cert', [CompletionResultType]::ParameterName, 'client certificate')
+			$completions += [CompletionResult]::new('--cert-key', '--cert-key', [CompletionResultType]::ParameterName, 'client private key')
+			$completions += [CompletionResult]::new('--cert-key-pass', '--cert-key-pass', [CompletionResultType]::ParameterName, 'private key passphrase')
 			# Operations
 			$completions += [CompletionResult]::new('--download', '--download', [CompletionResultType]::ParameterName, 'download remote Taskfile')
 			$completions += [CompletionResult]::new('--clear-cache', '--clear-cache', [CompletionResultType]::ParameterName, 'clear cache')
diff --git a/completion/zsh/_task b/completion/zsh/_task
index 08670531..908dac53 100755
--- a/completion/zsh/_task
+++ b/completion/zsh/_task
@@ -86,6 +86,10 @@ _task() {
             '(--offline)--offline[use only local or cached Taskfiles]'
             '(--timeout)--timeout[timeout for remote Taskfile downloads]:duration: '
             '(--expiry)--expiry[cache expiry duration]:duration: '
+            '(--cacert)--cacert[custom CA certificate for TLS]:file:_files'
+            '(--cert)--cert[client certificate for mTLS]:file:_files'
+            '(--cert-key)--cert-key[client certificate private key]:file:_files'
+            '(--cert-key-pass)--cert-key-pass[passphrase for private key]: '
         )
     fi